Which graph of a relation is not a function?
Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function. This is a function. Any vertical line will cross this graph at only one point. This is not a function.
How do you show that a relation is not a function?
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
What is a relation that is not a function?
A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Which of the graph is not a graph of function?
The Vertical Line Test : A curve in the xy-plane is a function if and only if no vertical line intersects the curve more than once. This red graph is NOT a function as it fails the Vertical Line Test in blue. We can draw a vertical line and it hits more than one point on our function.
What is the graph of a relation?
DEFINITION. The graph of a relation R is the set of all points (x, y) in a coordinate plane such that x is related to y through the relation R. A relation consisting of finitely many ordered pairs of numbers could be graphed by simple plotting of points.
Which type of line is not a function?
vertical line
Solution. If any vertical line intersects a graph more than once, the relation represented by the graph is not a function.
How do you sketch a graph of a function?
To sketch the graph of a function, we need to perform the following:
- Determine, whether function is obtained by transforming a simpler function, and perform necessary steps for this simpler function.
- Determine, whether function is even, odd or periodic.
- Find y-intercept (point f(0)).